Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664t |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-917445279744 = -1 · 226 · 32 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2017,58465] |
[a1,a2,a3,a4,a6] |
j |
-3463512697/3499776 |
j-invariant |
L |
3.2206302621004 |
L(r)(E,1)/r! |
Ω |
0.80515756553371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664dp1 1302g1 124992cv1 |
Quadratic twists by: -4 8 -3 |